32c^5d-162cd^3=0

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Solution for 32c^5d-162cd^3=0 equation:


Simplifying
32c5d + -162cd3 = 0

Reorder the terms:
-162cd3 + 32c5d = 0

Solving
-162cd3 + 32c5d = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '2cd'.
2cd(-81d2 + 16c4) = 0

Factor a difference between two squares.
2cd((9d + 4c2)(-9d + 4c2)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor 'cd' equal to zero and attempt to solve: Simplifying cd = 0 Solving cd = 0 Move all terms containing c to the left, all other terms to the right. Simplifying cd = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(9d + 4c2)' equal to zero and attempt to solve: Simplifying 9d + 4c2 = 0 Reorder the terms: 4c2 + 9d = 0 Solving 4c2 + 9d = 0 Move all terms containing c to the left, all other terms to the right. Add '-9d' to each side of the equation. 4c2 + 9d + -9d = 0 + -9d Combine like terms: 9d + -9d = 0 4c2 + 0 = 0 + -9d 4c2 = 0 + -9d Remove the zero: 4c2 = -9d Divide each side by '4'. c2 = -2.25d Simplifying c2 = -2.25d The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 3

Set the factor '(-9d + 4c2)' equal to zero and attempt to solve: Simplifying -9d + 4c2 = 0 Reorder the terms: 4c2 + -9d = 0 Solving 4c2 + -9d = 0 Move all terms containing c to the left, all other terms to the right. Add '9d' to each side of the equation. 4c2 + -9d + 9d = 0 + 9d Combine like terms: -9d + 9d = 0 4c2 + 0 = 0 + 9d 4c2 = 0 + 9d Remove the zero: 4c2 = 9d Divide each side by '4'. c2 = 2.25d Simplifying c2 = 2.25d The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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